Answer:
At the average rate of making profit, it will take slightly more than 30 hours for the business to reach a profit goal of $500. (30.075)
Step-by-step explanation:
a) It is not clear what linear equation is desired. We are given enough information to write an equation relating the number of bracelets produced by each worker to the time it takes.
Let n represent the number of bracelets Danica produces. Let r represent the number of bracelets Darrelle produces. Let h represent time in hours.
.. r/3 = h/4 ... Darrelle produces 3 bracelets in 4 hours
.. 4r - 3h = 0 ... equation in standard form
.. r = (3/4)h ... equation in slope-intercept form (the intercept is 0)
.. n/5 = h/2 ... Danica produces 5 bracelets in 2 hours
.. 2n - 5h = 0 ... equation in standard form
.. n = (5/2)h ... equation in slope-intercept form
b) We have no idea what special functions were discussed in the course. Of course these equations can be graphed. (2-dimensional equations are easily graphed.)
c) A profit function can be written in terms of the number of bracelets produced. Then it can be solved to find when (h=?) profit is equal to $500.
.. Let p represent the total profit from production of bracelets.
.. p = 10.50*r + 3.50*n ... profit in terms of bracelets produced
.. p = 10.50*((3/4)h) + 3.50*((5/2)h) ... profit in terms of hours, where both work the same hours
.. p = 16.625 h
.. 500 = 16.625 h ... we want to find hours until $500 profit
.. 500/16.625 = h ≈ 30.0752
At the average rate of making profit, it will take slightly more than 30 hours for the business to reach a profit goal of $500.
_____
If you work out the timing of when bracelets are finished, assuming they are made at a constant rate, you find that there will be 23 of Darrelle's bracelets and 76 of Danica's bracelets finished in 30 hours and 40 minutes. These will yield a profit of $507.50. After another 8 minutes, Danica will have finished bracelet 77 to add another $3.50 to the profit total.
Find the area of CAT , given the following information:
Side c = 12 inches
Side t = 13 inches
Side a = 17 inches
Angle A = 75 degrees
Evaluate this expression for a = 3 and b = 4.
(a +4)-
3(8 + 2)
Answer:
-24
Step-by-step explanation:
its been a while but I believe this is correct
the quotient of two numbers is negative what must be true about the two numbers
Answer:
that one of the numbers is negative and one is positive
Step-by-step explanation:
hope this helps
correct me if this is wrong
Answer:
One of them is negative and the other is positive.
Step-by-step explanation:
1.Estimate the size of a crowd at a parade along a 1-mile section that is 8 feet deep on both sides. Assume 1 person for each 4.5 square feet.
a.
46,900
b.
84,400
c.
18,700
d.
37,500
2.Estimate the size of a crowd at a parade along a 2-mile section that is 10 feet deep on both sides. Assume 1 person for each 4.5 square feet.
a.
46,900
b.
84,400
c.
18,700
d.
23,400
3.Estimate the size of a crowd at a parade along a 2-mile section that is 10 feet deep on both sides. Assume 1 person for each 2.5 square feet.
a.
84,500
b.
84,000
c.
126,700
d.
42,000
4.Estimate the size of a crowd at a concert where the area is 100 yards by 50 feet. Assume 1 person for each 2.5 square feet.
a.
12,000
b.
6,000
c.
2,000
d.
2,500
Answer:
1)
c.
18,700
2)
a.
46,900
3)
a.
84,500
4)
a.
12,000
Step-by-step explanation:
1) 1 mile = 5280 ft.
Area of both sides = 5280 ft × 8 ft × 2 sides = 84480 ft²
Since 1 person for each 4.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{4.5}[/tex]
the size of a crowd = [tex]\frac{1}{4.5} *84480=18773.33[/tex] ≈ 18700
2) 1 mile = 5280 ft, therefore 2 mile = 10560 ft (5280 × 2)
Area of both sides = 10560 ft × 10 ft × 2 sides = 211200 ft²
Since 1 person for each 4.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{4.5}[/tex]
the size of a crowd = [tex]\frac{1}{4.5} *211200=46933.33[/tex] ≈ 46900
3) 1 mile = 5280 ft, therefore 2 mile = 10560 ft (5280 × 2)
Area of both sides = 10560 ft × 10 ft × 2 sides = 211200 ft²
Since 1 person for each 2.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{2.5}[/tex]
the size of a crowd = [tex]\frac{1}{2.5} *211200=84400[/tex] ≈ 84500
4) 1 yard = 3 ft, therefore 100 yard = 300 ft (100 × 3)
Area of both sides = 300 ft × 50 ft × 2 sides = 30000 ft²
Since 1 person for each 2.5 square feet, the ratio of one person to 1 square feet = [tex]\frac{1}{2.5}[/tex]
the size of a crowd = [tex]\frac{1}{2.5} *30000=12000[/tex]
You have purchased 5 lottery tickets (each with different numbers) for tonight’s Pick 4. In the Pick 4, one ball (numbered 0 – 9) is drawn from each of four cylinders. What are your odds of winning?
Please help
Answer: 0.05%
Step-by-step explanation:
Ok, you have 5 tickets with different combinations of 4 numbers of them.
Now, the total number of combinations of 4 numbers (0 to 9) can be found as:
For the first number we have 10 options.
For the second number we also have 10 options.
for the third number we also have 10 options
for the fourth number we also have 10 options.
The total number of combinations is equal to the product of the number of options for each selection, this is:
Combinations = 10*10*10*10 = 100*100 = 10,000.
So out of 10,000 possible combinations, you have 5.
Then the odds of winning is the quotient between the combinations that you have and the total number of combinations: p = 5/10,000 = 0.0005
In percentage form, this is: 0.0005*100% = 0.05%
Select the correct answer. In the given figure, m = 118°, m = 76°, and m∠BAC = 35°. Which statement is true? Figure not drawn to scale A. The measure of is 48°, and triangle BCD is isosceles. B. The measure of is 83°, and triangle BCD is isosceles. C. The measure of is 48°, and triangle BCD is not isosceles. D. The measure of is 83°, and triangle BCD is not isosceles.
Answer:
A
Step-by-step explanation:
The measure of the angle is 48 degrees and the triangle BCD is isosceles.
What is a Circle?
A circle is a round-shaped figure with all the points on one plane, the distance between the center and all the points on the circumference is the same.
Thre arc mBC inscribes angle BDC
According to the theorem, the angle made by the arc on the center is double that made at the circumference.
mBDC = (1/2) * mBC
mBDC = (1/2) * 118 = 59°
It is also known from the secant theorem that, the angle made by the two secants is equal to half of the angle inscribing the arc.
mA = (1/2) * (mBC - mDE)
35 = (1/2) * (118 - mDE)
70 = 118 - mDE
The measure of DE = 48°
The sum of all the arcs in a circle is 360°
So,
mBC + mCD + mDE + mBE = 360
mCD = 360 - 118 - 48 - 76 = 118°
The angle CBD is inscribed by the arc mCD
mCBD = (1/2) * mCD = (1/2) * 118 = 59°
The angles CBD and BDC are equal, so the triangle is isosceles.
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What is the Vertex of the graph? Is it minimum or maximum? A. (1,3) minimum B. (1,3) maximum C. (3,1) minimum D. (3,1) maximum
Answer:
(1,3) maximum
Step-by-step explanation:
As you can see from the graph the tip of the parabola is the vertex which is at the point (1,3) which is a maximum because it is the tallest point on the graph.
the figure is a rectangular prism. Identify which one of the line segments in the given figure is perpendicular to BF.
Answer:
EF, FG, AB and BC are perpendicular to BF.
Step-by-step explanation:
In the figure attached, a rectangular prism has been given.
Line BF is contained in the face BCGF of the prism.
Therefore, all the faces perpendicular to the face given are,
ABFE, EFGH, ABCD and CGHD.
But the line segments contained in these faces and perpendicular to the line segment BF are EF, FG, AB and BC.
Therefore, answer is the line segments EF, FG, AB and BC are perpendicular to BF.
Line segments perpendicular to BF are:
GF, EF, AB, and CB
What is perpendicular?Perpendicular lines are the two distinct lines that intersect at each other at 90°. A perpendicular is a straight line that makes an angle of 90° with another line. 90° is also called a right angle and is marked by a little square.
Given,
In figure ABCDEFGH is a rectangular prism
BF is an edge of the prism
All faces of the rectangular prism are perpendicular to each other
Face EFGH is perpendicular to face BCGF
⇒ GF⊥BF and EF⊥BF
Face ABCD is perpendicular to face BCGF
⇒ AB⊥BF and CB⊥BF
Hence, line segments GF, EF, AB, and CB are perpendicular to BF.
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PLease answer this question !! 20 points and brainliest !!
Answer:
[tex]26cm[/tex]
Answer D is correct
Step-by-step explanation:
[tex]l = \sqrt{ {r}^{2} + {h}^{2} } \\ = \sqrt{{10}^{2} + {24}^{2} } \\ = 26 \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Answer: bjehdfgufgudhj
Step-by-step explanation:
please answer this question with reason please
Answer:
55°
Step-by-step explanation:
In circle with center O, OA and OB are radii and PA and PB are tangents drawn from external point P.
Since, tangent is perpendicular to the radius of the circle.
[tex] \therefore m\angle PAO = m\angle PBO = 90°\\
m\angle APB = 70°....(GIVEN) \\[/tex]
In quadrilateral PAOB,
[tex] m\angle PAO + m\angle PBO+ m\angle APB \\+m\angle AOB = 360°\\
\therefore 90° + 90° + 70° +m\angle AOB = 360°\\
\therefore 250° +m\angle AOB = 360°\\
\therefore m\angle AOB = 360°- 250°\\
\huge \purple {\boxed {\therefore m\angle AOB = 110°}} \\[/tex]
Since, angle subtended at the circumference of the circle is half of the angle subtended at the centre of the circle.
[tex] \therefore m\angle ACB = \frac {1}{2} \times m\angle AOB\\\\
\therefore m\angle ACB = \frac {1}{2} \times 110°\\\\
\huge \orange {\boxed {\therefore m\angle ACB = 55°}} [/tex]
Carter is handing out Valentine’s Day cards to his friends. He has 8 Batman cards, 12 Superman cards, and 5 captain America cards in a bag. What is the probability that the first two he chooses are Batman?
Answer:
7/75
Step-by-step explanation:
8 Batman cards, 12 Superman cards, and 5 captain America =25 cards
P( batman) = 8/25
no replacement since he hands them out
7 Batman cards, 12 Superman cards, and 5 captain America =24 cards
P( batman) = 7/24
P(batman, no replacement, batman) = 8/25 * 7/24 = 7/75
a line with the slope of -1 passes through the point 0, 3 what is the equation in slope intercept form
Answer:
y = -x + 3
Step-by-step explanation:
Slope intercept form is the form y = mx+b where m is the slope and b is the y intercept
Plugging in the values we get y=-x+3
Answer:
y = - x + 3
Step-by-step explanation:
y = mx + b
Slope m = -1.
y = - x + b
Point (0,3).
3 = 0 + b
b = 3
y = - x + 3
use the given measurements to solve triangle ABC. Round your answers to the nearest tenth. Show work.
Answer:
b. b = 15.0, A = 113.2°, C = 300°
Step-by-step explanation:
The given sides are either side of the given angle, so the Law of Cosines can be used to find the unknown side.
b² = a² +c² -2ac·cos(B)
b² = 23² +12.5² -2(23)(12.5)cos(36.8°) = 224.829
b = √224.829 = 14.99 ≈ 15.0 . . . . . matches choice B
__
For the purpose of selecting the correct multiple-choice answer, this is sufficient working.
__
If you want to find the remaining angles, you can use the law of sines to find one of them. The smallest angle* will be ...
sin(C)/c = sin(B)/b
C = arcsin(c/b·sin(B)) = arcsin(12.5/14.9942·sin(36.8°)) ≈ 30.0°
Then angle A can be found from the sum of angles in a triangle:
A = 180° -36.8° -30° = 113.2° . . . . . also matches choice B
_____
* We choose to find the smallest angle because the largest one may be more than 90°. The Law of Sines is ambiguous in that case. Finding the smaller angle first resolves the ambiguity immediately.
What is the surface area of a cylinder with base radius 3 and height 6?
Either enter an exact answer in terms of 7 or use 3.14 for at and enter your answer as a decimal.
3
6
square units
Answer:
Your correct answer is 169.65 square units.
Step-by-step explanation:
Since the radius of the cylinder is 3, and the height of it is 6, you get a total of 169.65 square units.
Here is proof that I am correct:
Answer:
54 pi
Step-by-step explanation:
khan
In step 4 of the construction of a perpendicular line through a point, why must the compass point be placed on the points where the
arc intersects with the original line? How would the construction be different if the compass point were placed at random points on
the original line?
Answer:
it would miss the point
Step-by-step explanation:
If the compass point were placed randomly on the line and arcs drawn, you might get a perpendicular by connecting the points where the arcs intersect, but it is not guaranteed to go through the desired point.
Two trains leave towns 492 miles apart at the same time and travel toward each other. One train travels 16 miles per hour slower than the other. If they meet in 3 hours, what is the rate of each train?
Answer:
The rate of each train is 74 miles per hour and 90 miles per hour respectively.
Step-by-step explanation:
Given;
distance between the two trains, d = 492 miles
total time traveled by each train before meeting the other, t = 3 hours
Let the speed for the first train = p
Let the speed for the second train = q
Assuming the first train is 16 mph slower than the second train, then;
q = p + 16
Distance = speed x time
492 miles = (p + q) x 3
492 = 3p + 3q
but, q = p + 16
492 = 3p + 3(p + 16)
492 = 3p + 3p + 48
492 - 48 = 6p
444 = 6p
p = 444 / 6
p = 74 miles per hour
q = 74 + 16
q = 90 miles per hour
Therefore, the rate of each train is 74 miles per hour and 90 miles per hour respectively.
Evaluate. Thank you!
Answer:
Step-by-step explanation:
-2 4/12 - 3 9/12 - 4
-5 13/12 - 4
-6 1/12 - 4
= -10 1/12
solution is d
compare: 8/12 to 6/9 which one is greater
Answer:
None they are both equal
Step-by-step explanation:
You find the common denominator which is 108
8/12 equals to 72/108
6/9 equals to 72/108
Answer:
Step-by-step explanation:
They are equivalent
which of these triangles are definitely not congruent to any of the others? check all that apply
Answer:
Triangle C and Triangle D
Step-by-step explanation:
If you look closely at all of the different triangles, you can see that there are two pairs of congruent triangles.
Triangle A and Triangle E are congruent, both being right triangles and approximately the same size.
Triangle B and Triangle F are congruent, as both of them are isosceles triangles, and again, the same size.
The two that remain, Triangles C and D, are both scalene triangles, but they are not congruent to one another. Triangle C clearly has a smaller obtuse angle than Triangle D.
Hope this helps!
Can anyone help me !!!
Answer:
Yes the equation is a linear one because it is an equation for a straight line.
Step-by-step explanation:
Answer:
Yes. Read below for explanation.
Step-by-step explanation:
y=3x+1 is in-fact linear. It is not a function though as it's y-intercept is 1 not 0. If you graphed this on a graphing calculator such as Desmos, it would create a line. It also uses slope-point formula which definitely makes it a line.
The seventh grade wants to break last year's record of 78 coats collected for the annual clothing drive. They have already collected 13 coats. Part A Write and solve an inequality to represent the number of coats, c, that the seventh grade must still collect. Part B Graph the solution on a number line.
Answer:
78=c-13
c=65
____________________
13 65 78
Part A- An inequality to represent the number of coats collected by seventh grade students is, c, C > 65
Part B- The graph of the solution on a number line, i have attached image below.
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given Information,
The seventh grade wants to break last year's record of 78 coats collected,
They have already collected 13 coats,
A. They need 65 more clothes to reach at the record of 78 clothes,
If they wants to break the last year's record they should collect more than 65 clothes,
So, the inequality is, C≥65
B. Graph on a number is attached in image.
Hence, the number coat must be greater than 65
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tienes tres cajas. Cada una de ellas tiene una información. Caja 1:El oro esrá aquí,Caja 2: El oro no está aquí, Caja 3: El oro está en oa segunda caja. Solo una de las frases es verdadera. ¿Puedes asegurarme donde está el oro? ¿ Puedes asegurarme dónde no está el oro?
Answer:
el oro no está en la caja 1 ya que la aseveración es falsa, tampoco está en la 2 ya que la aseveración es verdadera por lo tanto está en la caja 3 cuya aseveración también es falsa.
creo que calza la respuesta, pero es diferente a la del solucionario. favor corrígeme si me equivoco.
HELPPP WHAT ARE THE MISSING MEASURES
Answer:
goggle the following? ,'##$^%&'''!
37
A
B
12
35
С
Find cos(a) in the triangle.
Find the value of c that completes the square. x'2+42x+C
Answer:
441
Step-by-step explanation:
x^2 + 42x + c
Take the coefficient of x
42
Divide by 2
42/2 = 21
Square it
21^2 =441
This is the value of c
What is plank's constant
Answer:
6.626068 × 10-34 m2 kg / s
Step-by-step explanation:
The Planck constant, or Planck's constant, denoted h is a physical constant that is the quantum of electromagnetic action, which relates the energy carried by a photon to its frequency. A photon's energy is equal to its frequency multiplied by the Planck constant. The Planck constant is of fundamental importance in quantum mechanics, and in metrology it is the basis for the definition of the kilogram.
What is the percent increase when 7,200 increases by 1,800? help asap
Answer:
1,800/7,200 as a percentage is 1/4 which is 25%.
Answer: 25%.
Step-by-step explanation:
because 1,800/7,200 as a simplyfly fraction
will be 1/4 and if you make it in persant it will be 25%
Hope this helps :)
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
O A. (x + 4)(x-4)
O B. x(x - 4)
O C. (x-4)(x-4)
OD. x(x+4)
A handyman is tiling a bathroom l. He needs 34 rows of 18 tiles to cover the floor. How many total tiles does he need to cover the floor
Answer:
A handyman need 34 rows of 18 tiles.
How many total tiles does he need?
lets start off by saying that each row has 18 tiles
and there are supposed to be 34 rows
so you can multiply the number of tiles in each row (18) by the number of rows (34)
34 x 18 = 612
the handyman needs a total of 612 tiles to cover the floor.
plz hit the thx button and plz mark me brainliest if this helped :)
what is 2 cubed?????????
Answer:
8
Step-by-step explanation:
2×2×2=8
Answer:
8
Step-by-step explanation: